Metrika

, Volume 35, Issue 1, pp 275–286 | Cite as

Simultaneous estimation after selection and ranking and other procedures: The negative exponential case

  • N. Mukhopadhyay
  • H. I. Hamdy
  • S. Darmanto
Publications

Abstract

We considerk (≥2) independent negative exponential populations with unknown location parameters and unknown but equal scale parameter. We incorporate the existing purely sequential and three-stage sampling procedures for selecting the “best” population and study the asymptotic second-order characteristics of the proposed fixed-size simultaneous confidence regions for the location parameters constructed after selection and ranking. Some direct estimation procedures have also been discussed.

Key words and phrases

Negative exponential populations selection and ranking confidence regions sequential three-stage 

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References

  1. Bechhofer RE (1954) A single-sample multiple decision procedure for ranking means of normal populations with known variances. Ann Math Statist 25:16–39MathSciNetGoogle Scholar
  2. Desu MM, Narula SC, Villarreal B (1977) A two-stage procedure for selecting the best ofk exponential distributions. Commun Statist (Ser A) 6:1231–1243MathSciNetGoogle Scholar
  3. Ghosh M, Mukhopadhyay N (1979) Sequential point estimation of the mean when the distribution is unspecified. Commun Statist (Ser A) 8:637–652MathSciNetGoogle Scholar
  4. Hall P (1981) Asymptotic theory of triple sampling for sequential estimation of a mean. Ann Statist 9:1229–1238MATHMathSciNetGoogle Scholar
  5. Mukhopadhyay N (1986) On selecting the best exponential population. J Indian Statist Assoc 24:31–41MathSciNetGoogle Scholar
  6. Mukhopadhyay N (1987) Three-stage procedure for selecting the best exponential population. J Statist Plan Inf 16:345–352MATHCrossRefGoogle Scholar
  7. Mukhopadhyay N, Mauromoustakos A (1987) Three-stage estimation procedures for the negative exponential distributions. Metrika 34:83–93MATHMathSciNetGoogle Scholar
  8. Swanepoel JWH, van Wyk JWJ (1982) Fixed-width confidence intervals for the location parameter of an exponential distribution. Commun Statist (Ser A) 11:1279–1289MATHGoogle Scholar
  9. Woodroofe M (1977) Second order approximations for sequential point and interval estimation. Ann Statist 5:984–995MATHMathSciNetGoogle Scholar

Copyright information

© Physica-Verlag Ges.m.b.H 1988

Authors and Affiliations

  • N. Mukhopadhyay
    • 1
  • H. I. Hamdy
    • 2
  • S. Darmanto
    • 3
  1. 1.Department of StatisticsUniversity of ConnecticutStorrsUSA
  2. 2.University of VermontUSA
  3. 3.Gadjah Mada UniversityIndonesia

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